101221120011204 has 72 divisors (see below), whose sum is σ = 256596128301240. Its totient is φ = 33643899666432.

The previous prime is 101221120011203. The next prime is 101221120011307. The reversal of 101221120011204 is 402110021122101.

It can be written as a sum of positive squares in 4 ways, for example, as 457532100 + 101220662479104 = 21390^2 + 10060848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221120011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624860332 + ... + 625022300.

It is an arithmetic number, because the mean of its divisors is an integer number (3563835115295).

Almost surely, 2^{101221120011204} is an apocalyptic number.

It is an amenable number.

101221120011204 is an abundant number, since it is smaller than the sum of its proper divisors (155375008290036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221120011204 is a wasteful number, since it uses less digits than its factorization.

101221120011204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211509 (or 211504 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221120011204 its reverse (402110021122101), we get a palindrome (503331141133305).

The spelling of 101221120011204 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, eleven thousand, two hundred four".